10
QuizMultiple Choice

Factoring Polynomials: Difference of Squares — Unit test

Question 10 • FL-1200700-Mathematics for College Algebra MIS

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

Answer
A
The difference has 3 terms and a degree of 6.
B
The difference has 4 terms and a degree of 6.
C
The difference has 3 terms and a degree of 7.
D
The difference has 4 terms and a degree of 7.

Explanation

Subtract the second polynomial from the first, changing the sign of each of its terms: 6x⁶ − 4x⁵y − 3x³y⁴ − 10xy⁵. The like terms combine to give four terms. Their degrees are 6, 6, 7, and 6, so the polynomial’s degree is 7; the correct choice is “The difference has 4 terms and a degree of 7.”

AI-written and checked against the verified answer.

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